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- W2596744765 abstract "In this work we mainly consider the dynamics and scattering of a narrow soliton of the nonlinear Schrödinger equation with a potential in $Bbb{R}^3$, where the asymptotic state of the system can be far from the initial state in parameter space. Specifically, if we let a narrow soliton state with initial velocity $upsilon_{0}$ of order $1$ interact with an external potential $V(x)$, then the velocity $upsilon_{+}$ of outgoing solitary wave in infinite time will in general be very different from $upsilon_{0}$. In contrast to our present work, previous results proved that the soliton is asymptotically stable so that $upsilon_{+}$ stays close to $upsilon_{0}$ for all times." @default.
- W2596744765 created "2017-03-23" @default.
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- W2596744765 date "2018-01-01" @default.
- W2596744765 modified "2023-10-16" @default.
- W2596744765 title "Soliton-Potential Interactions for Nonlinear Schrödinger Equation in $mathbb{R}^3$" @default.
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- W2596744765 doi "https://doi.org/10.1137/17m1147275" @default.
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